The Navier–Stokes equations form the cornerstone of modern fluid dynamics, describing the motion of viscous, incompressible fluids through a set of nonlinear partial differential equations. At their ...

Kinetic-fluid coupling refers to the integration of kinetic theory and continuum fluid dynamics, enabling the modelling of complex multiphase flows where the discrete nature of particles interacts ...

We present two accurate and efficient algorithms for solving a group of fluid flow problems based on the Navier-Stokes Equations (NSEs). Both methods use a time-stepping approach with the ...

Several University of Texas at Austin mathematics faculty, including an incoming assistant professor, have seen their work spotlighted in the science publication Quanta in recent weeks. Distinct in 3D ...

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the ...